Abstract:
In this paper, a nonparametric estimation of a generalized regression function is proposed. The real response random variable (r.v.) is subject to left-truncation by another r.v. while the covariate takes its values in an infinite dimensional space. Under standard assumptions, the pointwise and the uniform almost sure convergences, of the proposed estimator, are established.
Keywords:
functional data, truncated data, almost sure convergence, local linear estimator.
Received: 06.02.2020 Received in revised form: 25.04.2020 Accepted: 26.05.2020
Bibliographic databases:
Document Type:
Article
UDC:519.21
Language: English
Citation:
Halima Boudada, Sara Leulmi, Soumia Kharfouch, “Rate of the almost sure convergence of a generalized regression estimate based on truncated and functional data”, J. Sib. Fed. Univ. Math. Phys., 13:4 (2020), 480–491
\Bibitem{BouLeuKha20}
\by Halima~Boudada, Sara~Leulmi, Soumia~Kharfouch
\paper Rate of the almost sure convergence of a generalized regression estimate based on truncated and functional data
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2020
\vol 13
\issue 4
\pages 480--491
\mathnet{http://mi.mathnet.ru/jsfu856}
\crossref{https://doi.org/10.17516/1997-1397-2020-13-4-480-491}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000557580600010}
Linking options:
https://www.mathnet.ru/eng/jsfu856
https://www.mathnet.ru/eng/jsfu/v13/i4/p480
This publication is cited in the following 1 articles:
Citation in format AMSBIB
Contact us: